Final answer:
The nᵗʰ term of the given arithmetic sequence can be found using the formula an = -2 + (n-1)(-0.08), where -2 is the first term and -0.08 is the common difference.
Step-by-step explanation:
The given sequence is -2, -2.08, -2.16, -2.24, -2.32. To find the nᵗʰ term of this sequence, we first need to determine the common difference between the terms. We do this by subtracting any term from the term that follows it. For example:
- -2.08 - (-2) = -0.08
- -2.16 - (-2.08) = -0.08
The common difference is -0.08. Now that we know the common difference, we can use the formula for the nᵗʰ term of an arithmetic sequence, which is an = a1 + (n-1)d, where a1 is the first term and d is the common difference. Plugging in the values we have:
So the equation for the nᵗʰ term is:
an = -2 + (n-1)(-0.08)
This equation can be used to find any term in the sequence by substituting the term number for n.